Identifying a Minimal Rheological Configuration: A Tool for Effective and Efficient Constitutive Modeling of Soft Tissues
Identifying a Minimal Rheological Configuration: A Tool for Effective and Efficient Constitutive Modeling of Soft Tissues
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DOI：
10.1115/1.4003620
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发表时间：
2011-04-01
影响因子：
1.7
通讯作者：
Socrate, Simona
中科院分区：
文献类型：
--
作者：
Jordan, Petr;Kerdok, Amy E.;Socrate, Simona
我们描述了一种建模方法，旨在作为识别生物组织时间依赖性响应的适当构成框架的初步步骤。该建模方法包括由用户定义的一维本构关系控制的粘性和弹性元素的可定制流变网络。模型参数通过迭代非线性优化来确定，最大限度地减少特定变形模式下实验和模型预测的结构（载荷-位移）组织响应之间的误差。我们通过确定各种软组织结构响应的最小流变排列、本构关系和模型参数来演示该方法的用途，包括压痕中的离体灌注猪肝、压痕中的离体猪脑皮质组织和无侧限压缩的离体人颈部组织。我们的结果表明，确定的流变构型与实验数据具有良好的一致性，包括多个恒定应变率加载/卸载测试和应力松弛测试。我们的经验表明，所描述的建模框架是探索各种本构关系和流变排列的有效工具，随后可以作为 3D 本构模型开发和有限元实现的基础。所提出的方法还可以用作独立工具，以获得生物组织对单轴操作的结构响应的简化一维唯象模型，以应用于触觉技术。 [DOI：10.1115/1.4003620]
We describe a modeling methodology intended as a preliminary step in the identification of appropriate constitutive frameworks for the time-dependent response of biological tissues. The modeling approach comprises a customizable rheological network of viscous and elastic elements governed by user-defined 1D constitutive relationships. The model parameters are identified by iterative nonlinear optimization, minimizing the error between experimental and model-predicted structural (load-displacement) tissue response under a specific mode of deformation. We demonstrate the use of this methodology by determining the minimal rheological arrangement, constitutive relationships, and model parameters for the structural response of various soft tissues, including ex vivo perfused porcine liver in indentation, ex vivo porcine brain cortical tissue in indentation, and ex vivo human cervical tissue in unconfined compression. Our results indicate that the identified rheological configurations provide good agreement with experimental data, including multiple constant strain rate load/unload tests and stress relaxation tests. Our experience suggests that the described modeling framework is an efficient tool for exploring a wide array of constitutive relationships and rheological arrangements, which can subsequently serve as a basis for 3D constitutive model development and finite-element implementations. The proposed approach can also be employed as a self-contained tool to obtain simplified 1D phenomenological models of the structural response of biological tissue to single-axis manipulations for applications in haptic technologies. [DOI: 10.1115/1.4003620]